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Finding the Fourth Proportional to 8,326.26, 11,490.15 and 4,549.38

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Solution

The fourth proportional to 8,326.26, 11,490.15 and 4,549.38 is: 6,278.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,326.26 : 11,490.15 = 4,549.38 : x
  2. Step 2: Convert to fraction form
    8,326.26/11,490.15 = 4,549.38/x
  3. Step 3: Cross multiply
    8,326.26x = 11,490.15 × 4,549.38
  4. Step 4: Simplify right side
    8,326.26x = 52,273,058.61
  5. Step 5: Solve for x
    x = 52,273,058.61/8,326.26
  6. Step 6: Final answer
    x = 6,278.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.